Least Common Multiple of 777/54, 255/26, 438/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 777/54, 255/26, 438/669 quickly i.e. 9642570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 777/54, 255/26, 438/669 is 9642570.

LCM(777/54, 255/26, 438/669) = 9642570

LCM of 777/54, 255/26, 438/669

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 777/54,255/26,438/669

Given numbers are 777/54,255/26,438/669

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 777,255,438

Least Common Multiple of Numerators i.e. LCM of 777,255,438 is 9642570.

GCF of Denominators means GCF of 54,26,669 as per the given fractions.

GCF of 54,26,669 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 777,255,438

LCM of Fractions 777/54,255/26,438/669 is 9642570

3 777, 255, 438
259, 85, 146

∴ So the LCM of the given numbers is 3 x 259 x 85 x 146 = 9642570

Least Common Multiple of 777,255,438 with GCF Formula

Least Common Multiple of 777,255,438 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 777,255,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(777,255,438) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(777,255,438) x common factors =3 x 3 = 9

LCM(777,255,438) = ( 777 × 255 × 438 ) / 9

LCM(777,255,438) = 86783130 / 9

LCM(777,255,438) = 9642570


Lets's calculate GCF of 54,26,669

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9642570/1

Therefore the LCM of Fractions 777/54,255/26,438/669 is 9642570

Greatest Common Factor of 54,26,669 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,26,669 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Greatest Common Factor

We found the factors 54,26,669 . The biggest common factor number is the GCF number.
So the greatest common factor 54,26,669 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 777/54, 255/26, 438/669

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 777/54, 255/26, 438/669?

Answer: LCM of Numerators as per given numbers 777/54, 255/26, 438/669 is

LCM of Numerators i.e. for 777,255,438 is 9642570

GCF of denominators i.e. for 54,26,669 is 1.

Thus, LCM of Fractions is 9642570.Finally, LCM of Fractions for 777/54, 255/26, 438/669 is 9642570.